Find the Range, Variance, and Standard Deviation for Each of the Two

question 34

Multiple Choice

Find the range, variance, and standard deviation for each of the two samples, then compare the two sets of results.
-When investigating times required for drive-through service, the following results (in seconds) were obtained. $\begin{array}{lllllllll}\text { Restaurant A } & 120 & 67 & 89 & 97 & 124 & 68 & 72 & 96\end{array}$
$\begin{array}{lllllllll}\text { Restaurant B } & 115 & 126 & 49 & 56 & 98 & 76 & 78 & 95\end{array}$

• A) Restaurant A: \(75 \mathrm { sec } ; 493.98 \mathrm { sec } ^ { 2 } ; 22.23 \mathrm { sec }\)
• Restaurant B: \(70 \mathrm { sec } ; 727.98 \mathrm { sec } ^ { 2 } ; 26.98 \mathrm { sec }\)
• There is more variation in the times for restaurant \(B\).
• B) Restaurant A: \(57 \mathrm { sec } ; 793.98 \mathrm { sec } ^ { 2 } ; 28.18 \mathrm { sec }\)
• Restaurant B: \(77 \mathrm { sec } ; 727.98 \mathrm { sec } ^ { 2 } ; 26.98 \mathrm { sec }\)
• There is more variation in the times for restaurant A.
• C) Restaurant A: \(57 \mathrm { sec } ; 493.98 \mathrm { sec } ^ { 2 } ; 22.23 \mathrm { sec }\)
• Restaurant B: \(77 \mathrm { sec } ; 727.98 \mathrm { sec } ^ { 2 } ; 26.98 \mathrm { sec }\)
• There is more variation in the times for restaurant \(B\).
• D) Restaurant A: \(57 \mathrm { sec } ; 493.98 \mathrm { sec } ^ { 2 } ; 22.23 \mathrm { sec }\)
• Restaurant B: \(56 \mathrm { sec } ; 727.98 \mathrm { sec } ^ { 2 } ; 32.89 \mathrm { sec }\)
• There is more variation in the times for restaurant \(B\).

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Definitions:

Intensity

The degree of strength, force, or energy with which a feeling, phenomenon, or condition is expressed or occurs.

Duration

The length of time that something continues or exists, often used to describe the time span of events or conditions.

Transtheoretical Model

A model in psychotherapy that assesses an individual's readiness to act on a new healthier behavior, and provides strategies, or processes of change to guide the individual through the stages of change to Action and Maintenance.

Stages of Change

A model that describes the process by which individuals motivate themselves and move toward personal behavior change in several distinct steps.